A function of the form: A = P(1-r)ⁿ [OR if (1-r) <1, the function is decaying1)
1) y = 100(1-1/2)ⁿ = decay because 1-1/2 = 1/2 <1
2) y =0.1(1.25)ⁿ = growth because 1.25 >1
3) y = [(0.03)¹/²]²ⁿ = decay because 0.03¹/² = √0.03 = 0.17 <1
4) y = 426(0.98)ⁿ = decay because 0.98 <1
5) y = 2050(1/2)ⁿ = decay because 1/2 <1
The standard form using integers is x + 3y = 0
<em><u>Solution:</u></em>
Given that we have to write the given equation in standard form
The standard form of an equation is Ax + By = C
In this kind of equation, x and y are variables and A, B, and C are integers
Let us convert the given equation to standard form
Given equation is:
![\rightarrow y - 2 = -\frac{1}{3}(x + 6)](https://tex.z-dn.net/?f=%5Crightarrow%20y%20-%202%20%3D%20-%5Cfrac%7B1%7D%7B3%7D%28x%20%2B%206%29)
Multiply the terms inside bracket with constant outside the bracket in right hand side of equation
![\rightarrow y - 2 =( \frac{-1}{3} \times x )+ (\frac{-1}{3} \times 6)\\\\\rightarrow y - 2 = \frac{-x}{3}-2](https://tex.z-dn.net/?f=%5Crightarrow%20y%20-%202%20%3D%28%20%5Cfrac%7B-1%7D%7B3%7D%20%5Ctimes%20x%20%29%2B%20%28%5Cfrac%7B-1%7D%7B3%7D%20%5Ctimes%206%29%5C%5C%5C%5C%5Crightarrow%20y%20-%202%20%3D%20%5Cfrac%7B-x%7D%7B3%7D-2)
Simplify the right hand side of equation
![\rightarrow y - 2 = \frac{-x-6}{3}](https://tex.z-dn.net/?f=%5Crightarrow%20y%20-%202%20%3D%20%5Cfrac%7B-x-6%7D%7B3%7D)
Move the 3 from R.H.S to L.H.S
![\rightarrow 3(y-2) = -x-6\\\\\rightarrow 3y - 6 = -x - 6](https://tex.z-dn.net/?f=%5Crightarrow%203%28y-2%29%20%3D%20-x-6%5C%5C%5C%5C%5Crightarrow%203y%20-%206%20%3D%20-x%20-%206)
Move the terms from R.H.S to L.H.S
![\rightarrow x + 3y - 6 + 6 = 0\\\\\rightarrow x + 3y = 0](https://tex.z-dn.net/?f=%5Crightarrow%20x%20%2B%203y%20-%206%20%2B%206%20%3D%200%5C%5C%5C%5C%5Crightarrow%20x%20%2B%203y%20%3D%200)
Thus the standard form is found
For a quadratic equation ax^2 + bx + c = 0, the discriminant is given by b^2 - 4ac
Thus for a^2 - 2a + 5 = 0,
a = 1, b = -2 and c = 5
b^2 - 4ac = (-2)^2 - 4(1)(5) = 4 - 20 = -16
Answer:
3 1/5 minutes per meter
Step-by-step explanation:
To find the rate in minutes per meter, divide the number of minutes by the number of meters:
(2.4 min)/(0.75 m) = 3.2 min/m = 3 1/5 minutes per meter
All you have to do is plug in and multiply.
32i+30j?
I think thats what it is :/